{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Logarithm transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "# for plotting\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# for Q-Q plots\n",
    "import scipy.stats as stats\n",
    "\n",
    "# the dataset for the demo\n",
    "from sklearn.datasets import fetch_california_housing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MedInc</th>\n",
       "      <th>HouseAge</th>\n",
       "      <th>AveRooms</th>\n",
       "      <th>AveBedrms</th>\n",
       "      <th>Population</th>\n",
       "      <th>AveOccup</th>\n",
       "      <th>Latitude</th>\n",
       "      <th>Longitude</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>8.3252</td>\n",
       "      <td>41.0</td>\n",
       "      <td>6.984127</td>\n",
       "      <td>1.023810</td>\n",
       "      <td>322.0</td>\n",
       "      <td>2.555556</td>\n",
       "      <td>37.88</td>\n",
       "      <td>-122.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>8.3014</td>\n",
       "      <td>21.0</td>\n",
       "      <td>6.238137</td>\n",
       "      <td>0.971880</td>\n",
       "      <td>2401.0</td>\n",
       "      <td>2.109842</td>\n",
       "      <td>37.86</td>\n",
       "      <td>-122.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>7.2574</td>\n",
       "      <td>52.0</td>\n",
       "      <td>8.288136</td>\n",
       "      <td>1.073446</td>\n",
       "      <td>496.0</td>\n",
       "      <td>2.802260</td>\n",
       "      <td>37.85</td>\n",
       "      <td>-122.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>5.6431</td>\n",
       "      <td>52.0</td>\n",
       "      <td>5.817352</td>\n",
       "      <td>1.073059</td>\n",
       "      <td>558.0</td>\n",
       "      <td>2.547945</td>\n",
       "      <td>37.85</td>\n",
       "      <td>-122.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3.8462</td>\n",
       "      <td>52.0</td>\n",
       "      <td>6.281853</td>\n",
       "      <td>1.081081</td>\n",
       "      <td>565.0</td>\n",
       "      <td>2.181467</td>\n",
       "      <td>37.85</td>\n",
       "      <td>-122.25</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   MedInc  HouseAge  AveRooms  AveBedrms  Population  AveOccup  Latitude  \\\n",
       "0  8.3252      41.0  6.984127   1.023810       322.0  2.555556     37.88   \n",
       "1  8.3014      21.0  6.238137   0.971880      2401.0  2.109842     37.86   \n",
       "2  7.2574      52.0  8.288136   1.073446       496.0  2.802260     37.85   \n",
       "3  5.6431      52.0  5.817352   1.073059       558.0  2.547945     37.85   \n",
       "4  3.8462      52.0  6.281853   1.081081       565.0  2.181467     37.85   \n",
       "\n",
       "   Longitude  \n",
       "0    -122.23  \n",
       "1    -122.22  \n",
       "2    -122.24  \n",
       "3    -122.25  \n",
       "4    -122.25  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load the California House price data from Scikit-learn\n",
    "X, y = fetch_california_housing(return_X_y=True, as_frame=True)\n",
    "\n",
    "# display top 5 rows\n",
    "X.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams[\"figure.dpi\"] = 450"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x864 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot histograms to inspect variable distributions\n",
    "\n",
    "X.hist(bins=30, figsize=(12, 12))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot histogram and Q-Q plots to explore the variable distribution\n",
    "\n",
    "\n",
    "def diagnostic_plots(df, variable):\n",
    "\n",
    "    # function to plot a histogram and a Q-Q plot\n",
    "    # side by side, for a certain variable\n",
    "\n",
    "    plt.figure(figsize=(15, 6))\n",
    "\n",
    "    # histogram\n",
    "    plt.subplot(1, 2, 1)\n",
    "    df[variable].hist(bins=30)\n",
    "    plt.title(f\"Histogram of {variable}\")\n",
    "\n",
    "    # q-q plot\n",
    "    plt.subplot(1, 2, 2)\n",
    "    stats.probplot(df[variable], dist=\"norm\", plot=plt)\n",
    "    plt.title(f\"Q-Q plot of {variable}\")\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check function output\n",
    "\n",
    "diagnostic_plots(X, \"MedInc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Logarithmic transformation with NumPy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# make a copy of the dataframe where we will store the modified\n",
    "# variables\n",
    "\n",
    "X_tf = X.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# list with the variables to transform\n",
    "\n",
    "variables = [\"MedInc\", \"AveRooms\", \"AveBedrms\", \"Population\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# apply log to a set of variables\n",
    "\n",
    "X_tf[variables] = np.log(X[variables])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# use diagnostic plot function to corroborate variable transformation\n",
    "\n",
    "diagnostic_plots(X_tf, \"MedInc\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "diagnostic_plots(X_tf, \"AveRooms\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "diagnostic_plots(X_tf, \"Population\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Logarithmic transformation with Scikit-learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import FunctionTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# make a copy of the dataframe where we will store the modified\n",
    "# variables\n",
    "\n",
    "X_tf = X.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# set up the transformer with NumPy log as parameter\n",
    "\n",
    "transformer = FunctionTransformer(func=np.log, inverse_func=np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# transform subset of dataframe (remember that we\n",
    "# made a copy earlier.)\n",
    "\n",
    "X_tf[variables] = transformer.transform(X[variables])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# use diagnostic plot function to corroborate variable transformation\n",
    "\n",
    "diagnostic_plots(X_tf, \"MedInc\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# revert to the original representation\n",
    "\n",
    "X_tf[variables] = transformer.inverse_transform(X_tf[variables])\n",
    "\n",
    "diagnostic_plots(X_tf, \"MedInc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Logarithmic transformation with Feature-engine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "from feature_engine.transformation import LogTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: black;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-1 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-1 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-1 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content {\n",
       "  max-height: 0;\n",
       "  max-width: 0;\n",
       "  overflow: hidden;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  max-height: 200px;\n",
       "  max-width: 100%;\n",
       "  overflow: auto;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-1 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-1 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-1 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-1 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-1 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 1ex;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-1 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LogTransformer(variables=[&#x27;MedInc&#x27;, &#x27;AveRooms&#x27;, &#x27;AveBedrms&#x27;, &#x27;Population&#x27;])</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow fitted\">&nbsp;LogTransformer<span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></label><div class=\"sk-toggleable__content fitted\"><pre>LogTransformer(variables=[&#x27;MedInc&#x27;, &#x27;AveRooms&#x27;, &#x27;AveBedrms&#x27;, &#x27;Population&#x27;])</pre></div> </div></div></div></div>"
      ],
      "text/plain": [
       "LogTransformer(variables=['MedInc', 'AveRooms', 'AveBedrms', 'Population'])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# set up the transformer with the variables to modify\n",
    "\n",
    "lt = LogTransformer(variables=variables)\n",
    "\n",
    "# fit transformer to data set\n",
    "lt.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['MedInc', 'AveRooms', 'AveBedrms', 'Population']"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lt.variables_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# transform variables in our data set\n",
    "\n",
    "X_tf = lt.transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3MAAAGDCAYAAACBRElKAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/H5lhTAAAACXBIWXMAAAsTAAALEwEAmpwYAABYRUlEQVR4nO3dd5gdZfn/8fdNCBA6Ar9IC0EEvoJ8QYihCYYmICEUqYYSQBEQQc1XBbGiKCKgCAJGukSQTug90hOKSBUBASFSpBNCScL9+2MmcLI523dP2X2/rmuvPWfmmTn3ZLM753OeZ56JzESSJEmS1FzmqncBkiRJkqTOM8xJkiRJUhMyzEmSJElSEzLMSZIkSVITMsxJkiRJUhMyzEmSJElSEzLMqelFxMMRMaLeddRTRGwfEc9GxNSI+EyNXnNoRGREzF2L15MkNZ+IGBMRt9XotVaJiPsj4q2IOLgWr1m+7tMRsVmtXk+qZJhTQ6v2B7LliSEzV8vMie3sp68Hj2OAgzJzwcz8W8uV5bG/VHn8ETGwXNYjN5uMiIkR8ZWe2JckqXvKc+WDETEtIl6IiJMiYpEObLdoRJxcbjOt3MdeNaq5u+eR7wI3Z+ZCmfm7VvafEbFGi+WXlMtHdOO1Z+3rJxFxTnf3I3WUYU7qAQ0QEpcHHm6nzWvAVhXPtyqXSZL6kIgYC/wK+A6wCLAuMBS4LiIGtrHdPMANFOeU9cptvwMcXcuerm7oyLnwn8Ces55ExOIUx/rfXqxL6jWGOTW9yt67iBgeEfdExJsR8WJEHFc2u6X8/no5FHG9iJgrIn4QEc+UPVRnV35qGRF7luteiYgftnidn0TEhRFxTkS8CYwpX/vOiHg9Ip6PiBPLE+Os/WVEHBgRj5dDQH4WEStGxB1lvedXtm9xjFVrjYh5I2IqMAD4e0Q82cY/1Z+oOIGVj89u8TqLRMRpZf1TIuLnETGgXDcgIo6JiJcj4l/A1m38TEZExHMRMbas9/mI2Lti/aCIOLY8njci4raIGNRG7ZKkDoiIhYGfAt/IzGsyc3pmPg3sDHwC+HIbm+8BDAF2ysynym2vAQ4Gfh4RC7bymhkRB0fEv8pzxK8joup7zIhYPyLuLv/23x0R65fLjwQ2BE4sz9MntrL9qCgur3i97Gn7VLn8JmDjiu1XbuUYxwO7zDq3AbsBlwDvV7zGXBFxaEQ8Wb4HOD8iPlaxfo+K9weHt/I6lf82+5fn/tcj4vcRERXrvxoRj5bvCx6JiLXa2p/UkmFOfc3xwPGZuTCwInB+uXyj8vui5VDEO4Ex5dfGFCe4BYETASJiVeAkYDSwFMWnk8u0eK1tgQuBRSlODjOBbwFLUHzKtylwYItttgDWpviU9LvAOGB3YDng0xQnlWqq1pqZ72XmrJPrGpm5Yqv/MnApsFEUQ2gWozhpXtaizZnADOCTwGeALwCzhrx8FRhZLh8G7NjGawF8nI/+3fYFfl++LhTDQtcG1gc+RvFv8UE7+5MktW99YD7g4sqFmTkVuIri73prNgeuzsy3Wyy/CJif4tzWmu0pzg1rUZwf92nZoAxEVwK/AxYHjgOujIjFM/Nw4FY+umTgoCrbrwycC3wTWLI8nssjYp7M3KTF9v9spc7/AI/w0b/DHB9sAt8AtgM+DyxNMYrl92UNqwInUwTfpcvjWLaNfxcozp2fBf6XIlRvUe5rJ+AnZQ0LA6OAV9rZlzQbw5yawaXlp1mvR8TrFCGrNdOBT0bEEpk5NTPvaqPtaOC4zPxXeZI7DNg1iiGTOwKXZ+Ztmfk+8COg5bVld2bmpZn5QWa+k5n3ZuZdmTmj/BT0DxQngkpHZ+abmfkw8BBwXfn6bwBXUwSlztbaUe8ClwO7lF8TymUARMRg4IvANzPz7cx8CfgNsGvZZGfgt5n5bGa+CvyyndebDhxRfrJ7FTAVWKX8tHYf4JDMnJKZMzPzjsx8rxPHIkmqbgng5cycUWXd8xQhqK1tn2+5sNzXy+1s+6vMfDUz/w38luofTm4NPJ6ZfyrPlecC/wC2aWO/lXYBrszM6zNzOsUHg4MoAmxnnA3sGRH/Q/Eh750t1u8PHJ6Zz5Xnpp8AO1a8P7giM28p1/2Q9j+MPCozXy//bW4G1iyXf4XifcHdWXgiM5/p5LGonzPMqRlsl5mLzvpizt6uSvsCKwP/KIdvjGyj7dJA5R/NZ4C5gcHlumdnrcjMacz5admzlU8iYuWIuCKKi8bfBH5BcWKs9GLF43eqPK86hKWdWjvjbIpPAKt9Erk8MBB4viI4/wH4fxU1VB5zeyecV1q8mZhGcXxLUHxq3NaQUElS17wMLNHKh31LleuJiFPK4YhTI+L7Fdsu1XKjcl9LzNq2FS3PD0tXadPyXDarbcuRL62ZbfvM/KB83Y5uP8vFwCbAQRSXILS0PHBJxbnwUYrRN9XeH7xN+71pL1Q8nnUuhGJUjudCdYthTn1KZj6embtRBJBfARdGxALM2asGxVCL5SueD6EYYvgixSeTHw6bKK/nWrzly7V4fjLFJ4wrlcM8vw8EPaOtWjvjVooT9WCg5VTRzwLvAUtUhOeFM3O1cv3zFCeeyhq64mWKHsG2hoRKkrrmToq/5TtULiyvd9sKmAiQmfuXwxEXzMxflM1uALYqz5uVvkRxTdmkNl635fnhP1XatDyXzWo7pXzc3uzKs21fXnu2XMX2HVJ+QHs1cADVw9yzwFaVHyRn5nyZOYUW58KImJ853x901LN4LlQ3GebUp0TE7hGxZPlp3evl4g8oZqn6gOJ6s1nOBb4VESuUJ7lfAH8pe5MuBLYpL9Seh2KIRXvBbCHgTWBqOXTjgB46rPZq7bDMTIrhLKPKx5XrngeuA46NiIXLC8BXjIhZQ0XPBw6OiGXLa98O7cqBlD+b04HjImLpKCZWWS8i5u3K/iRJHymH7f8UOCEitoziNjRDKf6Gv0xxjXdr/gQ8B1wQxS19BkbEFhTXuP263HdrvhMRi0XEcsAhwF+qtLkKWDkivhwRc0fELsCqwBXl+heZ/Tzd0vnA1hGxaRSzco6lCK53tLFNa74PfL68LKKlU4AjI2J5gIhYMiK2LdddCIyMiM+V7w+OoOvvp08F/i8i1o7CJ2e9ptRRhjn1NVsCD0cxw+PxwK7l9WzTgCOB28thE+tSBIo/Ucx0+RRFb9E3AMpr2r4BnEfxKdxU4CWKk0Zr/o9ilrC3gD9S/UTWVa3W2lmZ+XB5fNXsCcxDcXH4axQnrVlDbv4IXAv8HbiPFhfXd9L/AQ8CdwOvUvSi+vdIknpAZh5NEVaOoTgnPUUxgclmVSY3qdzuPWAzih6jSRTD/6+huAbup+287GXAvcD9FJOcnFZl/69QTAYylmJo4neBkZk5a/jm8RTXpr0WEXPcJy4zH6OYNOwEimC6DbBNeW17p2TmfzKztZuZH09xXfl1EfEWcBewTrndw8DXgT9TvD94jSIAd1pmXkDx3uTPFD+nSykmBZM6LFp8OC+pirI37HWKIZRP1bkcSZI6LIpbwxwBbFBOwtHR7QZSDEecAoxpOaKjol1SnB+f6Il6JXWcn4RLrYiIbSJi/vLagWMoepKerm9VkiR1TmaeQdFT16lZH8sZI79EMUnHKr1QmqRusmdOakVEnEoxBXEA9wAHlkM8JElSyZ45qX4Mc5IkSZLUhBxmKUmSJElNyDAnSZIkSU1o7noX0J4lllgihw4dWu8yZvP222+zwAIt76fZfPrKcYDH0qg8lsbUqMdy7733vpyZS9a7jmbRiOdHSVLvaO0c2fBhbujQodxzzz31LmM2EydOZMSIEfUuo9v6ynGAx9KoPJbG1KjHEhHP1LuGZtKI50dJUu9o7RzpMEtJkiRJakKGOUmSJElqQoY5SZIkSWpChjlJkiRJakKGOUmSJElqQoY5SZIkSWpChjlJkiRJakKGOUmSJElqQoY5SZIkSWpChjlJkiRJakKGOUmSJElqQoY5SZIkSeppU6fCZZf16ksY5iRJkiSpJz37LHzuc7DTTvDvf/fay8zda3uW1PSGHnplp9o/fdTWvVSJJElSk5g8GbbdFqZNg8svhyFDeu2l7JmTJEmSpJ5w/vnw+c/DoEFw552wxRa9+nKGOUmSJEnqjkz42c9gl11g7bVh0iRYddVef1mHWUr9TGeHTkqSJKkN774L++4Lf/4z7LknjBsH885bk5c2zEmSJElSV7z0Emy3XTGk8he/gEMPhYiavbxhTpKkXhQR8wG3APNSnHcvzMwft2gzL3A2sDbwCrBLZj5d41IlSZ3x0EMwcmQR6C64AHbcseYleM2cJEm96z1gk8xcA1gT2DIi1m3RZl/gtcz8JPAb4Fe1LVGS1ClXXQXrrw/vvw+33FKXIAf2zElNz2vgpMaWmQlMLZ8OLL+yRbNtgZ+Ujy8EToyIKLeVJDWKTDjhBPjWt2CNNWDCBFh22bqVY8+cJEm9LCIGRMT9wEvA9Zk5qUWTZYBnATJzBvAGsHhNi5QktW36dDjwQDjkEBg1Cm69ta5BDjoQ5iJiuYi4OSIeiYiHI+KQcvnHIuL6iHi8/L5YuTwi4ncR8UREPBARa1Xsa6+y/eMRsVfvHZYkSY0jM2dm5prAssDwiPh0V/YTEftFxD0Rcc9///vfHq1RktSG11+HL34RTjkFvvc9uOgiWGCBelfVoZ65GcDYzFwVWBf4ekSsChwK3JiZKwE3ls8BtgJWKr/2A06GIvwBPwbWAYYDP54VACVJ6g8y83XgZmDLFqumAMsBRMTcwCIUE6G03H5cZg7LzGFLLrlkL1crSQLgySdhvfXgr3+FM86Ao46CuRpjgGO7VWTm85l5X/n4LeBRiuEg2wJnlc3OArYrH28LnJ2Fu4BFI2IpYAuKoSWvZuZrwPXMeTKTJKlPiYglI2LR8vEgYHPgHy2aTQBmjVjZEbjJ6+UkqQHccguss04xY+UNN8CYMfWuaDadipQRMRT4DDAJGJyZz5erXgAGl48/HPdfeq5c1tpySZL6sqWAmyPiAeBuig82r4iIIyJiVNnmNGDxiHgC+DYfjXaRJNXLmWfCZpvBEkvApEmw0Ub1rmgOHZ7NMiIWBC4CvpmZb0bFzfAyMyOixz5BjIj9KIZoMnjwYCZOnNhTu+4RU6dObbiauqKvHAf072MZu/qM3iumk1rW3Z9/Lo2sLx1LM8jMByg+CG25/EcVj98FdqplXZKkVnzwAXz/+/CrXxVh7vzzYbHGvDqsQ2EuIgZSBLnxmXlxufjFiFgqM58vh1G+VC7/cNx/adly2RRgRIvlE6u9XmaOA8YBDBs2LEeMGFGtWd1MnDiRRqupK/rKcUD/PpYxDXRrgqdHj5jteX/+uTSyvnQskiT1qLffhj32gEsugf33h9/9DgYOrHdVrerIbJZBMfzj0cw8rmJV5fj+vYDLKpbvWc5quS7wRjkc81rgCxGxWDnxyRfKZZIkSZJUX1OmwIYbwmWXwfHHw0knNXSQg471zG0A7AE8WN4jB+D7wFHA+RGxL/AMsHO57irgi8ATwDRgb4DMfDUifkZxvQDAEZn5ak8chCRJkiR12T33FPeOmzoVLr+8uA1BE2g3zGXmbUC0snrTKu0T+Hor+zodOL0zBUqSJElSr7noomJo5f/7f3D77bD66vWuqMMa4wYJkiRJklRLmfDLX8KOO8IaaxQzVjZRkINOzGYpSZIkSX3Ce+/BfvvB2WfDbrvB6afDfPPVu6pOs2dOkiRJUv/x3/8Wtxw4+2w44ggYP74pgxzYMydJkiSpv3jkERg5Ep5/Hv7yF9h55/a3aWCGOUmSJEl937XXFuFt0CD4619h+PB6V9RtDrOUJEmS1Lf9/vew9dYwdChMntwnghwY5iRJkiT1VTNmwDe+AQcdVNw77rbbYMiQelfVYwxzkiRJkvqeN94oro878UQYOxYuuQQWWqjeVfUor5mTJEmS1Lc89VQR5P75Txg3Dr761XpX1CsMc5IkSZL6jttug+23h5kz4brrYOON611Rr3GYpSRJkqS6Gz8e5p0XIrr+tUf8ifc23JR/vrwYK792F7HJxm22HzCg+D733MX3JZYovuaaq5gr5cADi++zno8fX3y1XFbtWNpr0xPsmZMkSZJUV+PHw+67d3374AOO4Ef8gCO5iY3ZkQt5jY+1u90HHxTfZ84svr/yykfrnnkGTj559ud7712Evvff/2jZfvsVj0eP/uhY9tsPpk1rvU1PsWdOkiRJUl0dckjXtx3ENP7CLvyAI/kjX2FLrulQkOuK6dM/CnKzTJsGhx/+0fPDD/8oyLXWpqfYMydJkiSprip7xDrj4zzPBEaxNvfybY7lN3wLiB6trSP+/e/qj1tr01MMc5IkSZLqpqvXk63J35jAKBbjNbblMq5gm54trBMqb103ZEgxtLKtNj3FYZaSJEmS6mb//Tu/zbZcym18jiTYgNtrFuQGDoR55pl92fzzw5FHfvT8yCOLZW216SmGOUmSJEl1M3VqZ1on3+FoLmYHHuLTDGcyD7BGl197rjINDRhQfF988eIrApZfHg44oPg+6/kZZ8Dpp8++bNy42Sc2GT26WNZWm57iMEtJkiRJDWnAAJgxo3zy/vtFN94ZZ8DOO7POmWfywqBBdamrvWA2enTvhLeW7JmTJEmSVBebbdb2+llT+vPKK/CFLxRB7kc/gnPPhToFuUZiz5wkSZKkmlttNXjkkbbbnHQS8I9/wMiR8NxzcM45tenyahKGOUmSJEk1Nf/88M47bbdZfnngxhthxx2LWUduvhnWW68m9TULh1lKkiRJqpmOBDmAv2zyB9hiC1h2WZg0ySBXhWFOkiRJUk10JMjNxUyO41usc8b+xXVyt98OQ4fWpL5mY5iTJEmS1OtWW639ILcQb3IZ2/ItfguHHAITJsDCC9ekvmbkNXOSJEmSel17k50M4RmuYCSf4lE4+eSu3U28n7FnTpIkSVKvGT++uHl2W9bhLiYznCHxLHNff41BroMMc5Ik9aKIWC4ibo6IRyLi4Yg4pEqbERHxRkTcX379qB61SlJPO/BA2H33ttvsyrlMZAQzBi3EIo/c1f7N5/Qhh1lKktS7ZgBjM/O+iFgIuDcirs/MlgOObs3MkXWoT5J6xfjxxWjJ1iU/4Sf8mCO4e/6N+Oy/L4bFF69VeX2CYU6SpF6Umc8Dz5eP34qIR4FlgHauHpGk5jZmTOvr5uMdzmBvduUvnDdob3Z97ZTiXnLqlHaHWUbE6RHxUkQ8VLHsLxVDQZ6OiPvL5UMj4p2KdadUbLN2RDwYEU9ExO8i2hs5K0lS3xIRQ4HPAJOqrF4vIv4eEVdHxGq1rUySet6MGdWXD+YFbmZjduZ8DpvrV+z69mkGuS7qSM/cmcCJwNmzFmTmLrMeR8SxwBsV7Z/MzDWr7Odk4KsUJ7CrgC2BqztdsSRJTSgiFgQuAr6ZmW+2WH0fsHxmTo2ILwKXAitV2cd+wH4AQ4YM6d2CJakbWuu2WZ0HuIKRLM4rfImLuGTm9rUtrI9pt2cuM28BXq22ruxd2xk4t619RMRSwMKZeVdmJkUw3K7T1UqS1IQiYiBFkBufmRe3XJ+Zb2bm1PLxVcDAiFiiSrtxmTksM4ctueSSvV63JHXFgAHVl2/NFdzOBszFB3yO27gkDXLd1d1r5jYEXszMxyuWrRARfwPeBH6QmbdSXBvwXEWb58plVVV+8jh48GAmTpzYzTJ71tSpUxuupq7oK8cB/ftYxq7eyhiGOmhZd3/+uTSyvnQszaD84PM04NHMPK6VNh+nOJ9mRAyn+LD1lRqWKUk94sAD4YMPWi5NvsVvOIb/4z7WYhQT+E8uXY/y+pzuhrndmL1X7nlgSGa+EhFrA5d2Zdx/Zo4DxgEMGzYsR4wY0c0ye9bEiRNptJq6oq8cB/TvYxlz6JW9V0wnPT16xGzP+/PPpZH1pWNpEhsAewAPzrrGHPg+MAQgM08BdgQOiIgZwDvAruVIFklqKi1nr5yb6fyer7Mff+RCvsSenM36m85fn+L6oC6HuYiYG9gBWHvWssx8D3ivfHxvRDwJrAxMAZat2HzZcpmkPmRoi2A5dvUZrYbNp4/auhYlSXWXmbcBbU76lZknUlyfLklNq+V1covxKhewE5tyE0fyfX7Iz0jm4oYb6lNfX9Sdm4ZvBvwjMz8cPhkRS0bEgPLxJygu3v5XOS3zmxGxbjncZE/gsm68tiRJkqQGMP/8cwa5T/I4d7Ien+M29uBsfsCRJHNxwAH1qbGv6sitCc4F7gRWiYjnImLfctWuzDnxyUbAA+UwkguB/TNz1uQpBwKnAk8AT+JMlpIkSVLT2myzIsS9887syz/PRCaxDh/jVTblRs5hDwBWXRVOOqkOhfZh7Q6zzMzdWlk+psqyiyhm66rW/h7g052sT5IkSVKDGTCg2kQnsC+ncjIH8DgrMZIreIpPADBwIDz8cI2L7Ae6M8xSkiRJUj8TMWeQm4uZHM13OJWvchObsB53fhjkAN5/v8ZF9hOGOUmSJEntWmaZ6jcDX4CpXMwOfIdjOIGD2JoreZNFPlzvdXK9p7u3JpAkSZLUx1ULcQDL8iyXsw2r8yAHcQK/56DZ1h9wgNfJ9SbDnCRJkqSq5pkHpk+vvu6zTOYytmV+prE1V3ItW8623rtl9j6HWUqSJEmaQ1tBbifO5698nncYxHrcOVuQW3VVg1ytGOYkSZIkzaF6kEsO5+eczy7cy9qswyQeZdWP1qazVtaSwywlSZIkzabaNXLz8i6n8hV2Zzxnswdf5Y+8z7wfrrc3rvbsmZMkSZL0oWpBbkle4iY2YXfG832OZC/O+jDILbqoQa5e7JmTJEmS1KrVeIgrGMn/4yV25AIuYscP1xni6sueOUmSJEnAnL1yW3I1d7A+8/A+G3HLh0Fu0CCDXCMwzEmSJEniwAMrnyXf4HdcwUieZEWGM5l7GVasSZg2rS4lqgWHWUo1MPTQKzvcduzqMxjRe6VIkiRVdfLJxfe5mc7xHMKBnMwlbMce/Im3WRCAc86pY4Gag2FOakCdCX+SJEndNWt45SK8zvnszBe4nl/xXQ7jl2TFYL7Ro+tUoKoyzEmSJEn92KzhlZ/gSa5gJCvyJHtzOmey92ztvEau8RjmJEmSpH5q/PhieOWG3MLF7ECQbM713MLn612aOsAJUCRJkqR+aPx42H132IszuYHNeJklWIdJVYOcvXKNyTAnSZIk9UN77P4Bv+AwzmRvbmEj1uNOnuSTc7QbNKgOxalDHGYpSZIk9TMLxNtcyB7swCWcwtf4Bicwg4FV23obgsZlmJMkSZL6idVWg9cfmcKtbMMa/J1D+C2/42AgqrZ3eGVjM8xJkiRJ/UAErMW9TGYUC/EW23A5V/PFVtsvvXQNi1OXeM2cJEmS1MdFwPZczK1syHQGsgG3txvkpkypYYHqEsOcJEmS1EeNHw8RyaH8kov5En9nDdZhEg+xeqvbDBpkkGsWDrOUJEmS+qDVVoMnHnmPM9mPvTibP7Mb+3A67zFfm9s54UnzsGdOkiRJ6mMi4MVHXuYGNmMvzuZH/JTRjG8zyC29tBOeNBt75iRJkqQ+JAI+xSNcwUiW4nl24TzOZ5c2tzHENSfDnCRJktRHRMDmXMcF7MQ7DGIEE5nMOm1uY5BrXoY5SXUx9NArO9X+6aO27qVKJElqflHeJu4ATuJ3HMzDrMY2XM6zDGlzO4Ncc/OaOUmSelFELBcRN0fEIxHxcEQcUqVNRMTvIuKJiHggItaqR62SmlMEDGAGx3MwJ/F1rmYrPsdtBrl+oN0wFxGnR8RLEfFQxbKfRMSUiLi//PpixbrDypPRYxGxRcXyLctlT0TEoT1/KJIkNaQZwNjMXBVYF/h6RKzaos1WwErl137AybUtUVIzW5g3uIKRHMwJHMNYtuNSprJQq+0zDXJ9RUd65s4Etqyy/DeZuWb5dRVAeXLaFVit3OakiBgQEQOA31OcrFYFdqtyIpMkqc/JzOcz877y8VvAo8AyLZptC5ydhbuARSNiqRqXKqnJRMAK8RR3sD6bciNfZRzf4Rg+YECr2xji+pZ2r5nLzFsiYmgH97ctcF5mvgc8FRFPAMPLdU9k5r8AIuK8su0jnS9ZkqTmVJ5PPwNMarFqGeDZiufPlcueb7H9fhQ9dwwZ0vbwKUl9WwSsz+1cynbMzQy24FpuZpM2tzHI9T3dmQDloIjYE7iHYvjIaxQnnrsq2sw6GcGcJ6lWp9WpPFkNHjyYiRMndqPMnjd16tSGq6kr+spxQOMfy9jVZ3S47eBBnWvfyHryWOr98230/2Od0ZeOpZlExILARcA3M/PNruwjM8cB4wCGDRvm2zKpHxvNOZzGvjzD8ozkCh5n5TbbG+T6pq6GuZOBnwFZfj8W2Kenimp5shoxYkRP7bpHTJw4kUarqSv6ynFA4x/LmE7M3Dh29Rkc+2DfmGi2J4/l6dEjemQ/XdXo/8c6oy8dS7OIiIEUQW58Zl5cpckUYLmK58uWyyRpdh98wM8H/IhzOJKb2JgduZDX+FirzRddFF57rXblqba6NJtlZr6YmTMz8wPgj3w0lLK1k5EnKUlSvxQRAZwGPJqZx7XSbAKwZzmr5brAG5n5fCttJfVTKy41jQsG7MIPOJI/8hW25BqDXD/XpY/MI2KpipPM9sCsmS4nAH+OiOOApSlm5ZoMBLBSRKxAEeJ2Bb7cncIlSWoSGwB7AA9GxP3lsu9DMWd4Zp4CXAV8EXgCmAbsXfsyJTWypeJ5JjCKtbmXsRzDcXyb4i12dYMGGeT6g3bDXEScC4wAloiI54AfAyMiYk2KYZZPA18DyMyHI+J8iolNZgBfz8yZ5X4OAq4FBgCnZ+bDPX0wkiQ1msy8jbbecRVtEvh6bSqS1Gw+E39jMqNYjNfYjku5nFFttj/nHBg9ukbFqa46MpvlblUWn9ZG+yOBI6ssv4rik0dJkiRJ7ZhnHthq+mXcxpd5hcXZgNt5gDXa3MYg17906Zo5SZIkSb0nIjlk+q+5hO15iE8znMntBrlFFzXI9TeGOUmSJKmBzBPvcypf4dd8lwvYiRFM5EU+3uY2c83lNXL9kWFOkiRJahCLxytcxxfYl9P5KT9iN87lXQa1uc2qq8LMmTUqUA2lb9zMSpIkSWpyq8RjTGJrluU5RnMOf6b9MZPeDLx/M8xJkiRJdRQBm3Ajd7Ej0xnIJtzEnazf7nYGOTnMUpIkSaqDeeYpgtx+/IFr2YIpLMNwJhvk1GGGOUmSJKnGImDm9Jkcx7f4A/tzHV9gfe7gGYa2uV2mQU4fMcxJkiRJNRQBC/IWl7Et3+K3/JZDGMUE3mLhNrczxKklr5mTJEmSaiQChvAMl7MNq/II+3Myf2D/drczyKkaw5wkSZJUAxGwDndxGdsyL++xFVdzA5u3u51BTq1xmKUkSZLUi5ZZpghyu3IuExnBWyzEutzVbpDz+ji1xzAnSZIk9ZII+M9/kh/zE87ly0xmOOtyF4/xP21uZ4hTRzjMUpIkSeoFETAf73A6+7Ab53EGY9ifU3ifeVvdxhCnzjDMSZIkST0oovg+mBe4lO0YzmS+y6/4Nd8BotXtDHLqLMOcJEmS1ENmBbnVeYArGMnivMKXuIhL2b7N7Qxy6gqvmZMkSZJ6wKwgtzVXcDsbMICZbMitBjn1GsOcJEmS1E1FkEu+xXFMYBSPsQrDmczfWKvN7Qxy6g7DnCRJktRFEcXX3EznFPbnOMZyMTuwEbfwH5ZpdTtvO6CeYJiTJKmFiJgrIhaudx2SGtusYZWL8hrXsCVfYxxH8n125nzeYf5WtzPEqacY5iRJAiLizxGxcEQsADwEPBIR36l3XZIaz6zeOIBP8jh3sS4bcit7chY/4EiyjbfYBjn1JMOcJEmFVTPzTWA74GpgBWCPulYkqeFExZ0FPs9EJrEOH+NVNuEm/sSerW7nsEr1BsOcJEmFgRExkCLMTcjM6YBvvSQBsNpqswe5fTiN69mcF/g46zCJ2/lcq9sa4tRbDHOSJBX+ADwNLADcEhHLA2/WtSJJDSECHnmkeDwXMzma73AaX+EmNmE97uQpPtHqtgY59SZvGi5JEpCZvwN+V7HomYjYuF71SGoMlb1xCzCV8YxmWyZwIl/nm/yWmW28nTbIqbfZMydJEhARgyPitIi4uny+KrBXncuSVEeVQW5ZnuU2PsdIruAgTuAbnNhqkPP6ONWKYU6SpMKZwLXA0uXzfwLfrFcxkuqrMsgN424mM5wVeIqtuZLfc1Cr2xniVEuGOUmSCktk5vnABwCZOQOYWd+SJNVDZZDbifO5hY14l/lYnzu4li2rbmNvnOrBMCdJUuHtiFiccgbLiFgXeKO+JUmqpcr7x0FyOD/nfHbhXtZmOJN5hNWqbmeIU720OwFKRJwOjAReysxPl8t+DWwDvA88Ceydma9HxFDgUeCxcvO7MnP/cpu1KYawDAKuAg7J9L++mtfQQ6+sdwmSeta3gQnAihFxO7AksGN9S5JUK5W9cfPyLqfyFXZnPGezB1/lj7zPvHNs4ztZ1VtHeubOhDn6k68HPp2Z/0txTcFhFeuezMw1y6/9K5afDHwVWKn8qt5HLUlSHWTmfcDngfWBrwGrZeYD3d1vRJweES9FxEOtrB8REW9ExP3l14+6+5qSOqcyyC3JS9zIpuzOeL7PkezFWQY5Nax2e+Yy85ayx61y2XUVT++inU8uI2IpYOHMvKt8fjbFTVmv7mS9kiT1iojYs8WitSKCzDy7m7s+EzgRaGs/t2bmyG6+jqQuqAxyq/EQl7MNg3mRHbmAi1p5i2uQU6PoifvM7QP8peL5ChHxN4obrf4gM28FlgGeq2jzXLmsqojYD9gPYPDgwUycOLEHyuw5U6dObbiauqKvHAfU51jGrj6jV/Y7eFDv7bvWevJY6v1/1d+XfuGzFY/nAzYF7qPtENauah+KSqq/yhAHsCVX8xd2YSoLshG3cC/Dqm5nkFMj6VaYi4jDgRnA+HLR88CQzHylvEbu0oiofqVoGzJzHDAOYNiwYTlixIjulNnjJk6cSKPV1BV95TigPscyppeumRu7+gyOfbAnPmepv548lqdHj+iR/XSVvy99X2Z+o/J5RCwKnFejl18vIv4O/Af4v8x8uFqjyg87hwwZUqPSpL5n9iCXHMSJ/JZv8gD/yzZczhSWrbqdQU6NpsuzWUbEGIqJUUbPmsgkM9/LzFfKx/dSTI6yMjAFZvutWLZcJklSo3obWKEGr3MfsHxmrgGcAFzaWsPMHJeZwzJz2JJLLlmD0qS+pzLIzc10fs/XOYGDuZxt2JBbqwa5pZc2yKkxdekj84jYEvgu8PnMnFaxfEng1cycGRGfoJjo5F+Z+WpEvFlO8zwJ2JPihCVJUkOIiMspb0tA8WHnqsD5vf26mflmxeOrIuKkiFgiM1/u7deW+pvKILcIr3M+O/MFrudXfJfD+CVZpZ/DEKdG1pFbE5wLjACWiIjngB9TzF45L3B9FL8Vs25BsBFwRERMp7jp6v6Z+Wq5qwP56NYEV+PkJ5KkxnJMxeMZwDOZ+VxrjXtKRHwceDEzMyKGUwTJV3r7daX+pOX1cZ/gSa5gJCvyJHtzOmeyd9XtDHJqdB2ZzXK3KotPa6XtRcBFray7B/h0p6qTJKlGMvOvvbHfVj4UHVi+5ikUM0IfEBEzgHeAXb0Pq9RzWga5z3Erl7A9QbI513MLn6+6nb+FagZ9Y5YFSZK6KCLe4qPhlbOtAjIzF+7O/lv5ULRy/YkUty6Q1INahjiAvTiTcezHv/gEI7mCJ/lk1W0NcmoWhjlJUr+WmQvVuwZJPatlkAs+4EgO5zCO4gY2ZScu4HUWm2M7Q5yajWFOkqQKEfH/KO4zB0Bm/ruO5UjqpJZBbn7e5k/swQ5cwil8jW9wAjOKkc6zMcipGXX51gSSJPUlETEqIh4HngL+CjyNk3VJTaVlkFuaKdzCRmzLZRzCbzmAkw1y6lMMc5IkFX4GrAv8MzNXADYF7qpvSZI6qmWQW4t7mcxwVuafjGICv+MQikthZ2eQUzMzzEmSVJiema8Ac0XEXJl5MzCs3kVJalvEnEFuey7mVjZkOgNZnzu4iq3n2C7TIKfmZ5iTJKnwekQsCNwCjI+I44G361yTpDbMOWNl8j2O4mK+xN9Zg3WYxEOsPsd2hjj1FYY5SVK/FhE7RcR8wLbANOBbwDXAk8A29axNUutaBrl5eI8zGcNRHMaf2Y2NuZmXGDxbG3vj1NcY5iRJ/d2XgX8DpwBbUtxb7qzM/F057FJSA5lnnjmD3OK8zA1sxl6czY/4KaMZz3sfTUoLGOLUNxnmJEn9WmZuD3wSuAH4BvBcRJwSEZ+vb2WSWoqA6dNnX/Y/PMok1mEY97AL5/EzfkTLiU4McuqrDHOSpH4vM98se+O2Aj4N/A34XUQ8W+fSJJXmvD4ONuc67mQ9FuBtRjCR89lljjYGOfVlhjlJkkoRsRiwA7AL8DHgwvpWJKnabJUAB3ASV/FFnmF5hjOZyawzRxuDnPq6uetdgCRJ9VTOYLk9sBvwGWACxT3nJmb6VlCqp2ohbgAzOI5vczAncDkj+TJ/ZioLzdbG31z1F4Y5SVJ/9zTF7JUnAddm5vS2m0uqhWpBbmHe4Dx2ZSuu4RjG8j1+xQcMmK2NQU79iWFOktTfLZeZ79S7CEkfqRbkhvIUl7MNq/AYX2Ucp/LVOdoY5NTfGOYkNYWhh17ZqfZPH7V1L1WivsYgJzWWakFufW7nUrZjbmawBddyM5vMtt4Qp/7KCVAkSZLUEKoFudGcw01swmssxjpMMshJFQxzkiRJqruWQS74gCP4IeewB3ewPutyF4+z8mxtDHLq7xxmKUnq1yLicqDVt4SZOaqG5Uj9UssgN4hpnMVe7MSFnMq+HMhJTGeeD9cb4qSCYU6S1N8dU37fAfg4cE75fDfgxbpUJPUT1YZVfpznmcAo1uZexnIMx/Ft4KOGBjnpI4Y5SVK/lpl/BYiIYzNzWMWqyyPinjqVJfV51YLcGtzP5WzDYrzGdlzK5czeMW6Qk2bnNXOSJBUWiIhPzHoSESsAC9SxHqlPiqge5EZxGbfxOQA24HaDnNQB9sxJklT4FjAxIv5FMaZreeBr9S1J6luqhThI/o9j+BXf4x6GsS2X8QJLzd7CICdVZZiTJAnIzGsiYiXgf8pF/8jM9+pZk9SXVAtyA3mfkzmAfTmdv7AzYziTdxk0WxuDnNQ6h1lKkgRExPzAd4CDMvPvwJCIGFnnsqQ+oVqQ+xivcB1fYF9O5wh+yG6ca5CTOsmeOUmSCmcA9wLrlc+nABcAV9StIqkPqBbkVuYxrmAkQ/g3ozmHPzN6jjYGOal99sxJklRYMTOPBqYDZOY0KudDl9Rp1YLcJtzIXazLIrzBxtw8R5DLNMhJHWXPnFQaeuiV9S5BUn29HxGDKG8gHhErAl4zJ3VRtSD3VcZxEgfyD/6HkVzBMwydbb0hTuqcDvXMRcTpEfFSRDxUsexjEXF9RDxefl+sXB4R8buIeCIiHoiItSq22ats/3hE7NXzhyNJUpf9GLgGWC4ixgM3At+tb0lSc2oZ5OZiJsfybcbxNa7jC6zPHbMFOXvjpK7p6DDLM4EtWyw7FLgxM1eiOOEdWi7fClip/NoPOBmK8EdxolwHGA78eFYAlCSpniJiLmAxYAdgDHAuMCwzJ9axLKkptQxyC/IWl7Et3+Y3HM/BjGICb7Hwh+sNcVLXdSjMZeYtwKstFm8LnFU+PgvYrmL52Vm4C1g0IpYCtgCuz8xXM/M14HrmDIiSJNVcZn4AfDczX8nMKzPzisx8ud51Sc2mZZAbwjPczgZsyTUcwEl8k+OZWXGVj0FO6p7uTIAyODOfLx+/AAwuHy8DPFvR7rlyWWvLJUlqBDdExP9FxHLlpQQfK0eVdEu1SxVarG/18gSpmbQMcutwF5MZzhD+zVZczSkcMNt6g5zUfT0yAUpmZkT02K9kROxHMUSTwYMHM3HixJ7adY+YOnVqw9XUFX3lOKBnjmXs6jN6pphuGjyocWrprnoeS0//3/b3pV/Ypfz+9YplCXyim/s9EzgROLuV9ZWXJ6xDcXnCOt18Talmqk10sgvncSZjmMIyfJ6/8hj/M9t6g5zUM7oT5l6MiKUy8/lyGOVL5fIpwHIV7ZYtl00BRrRYPrHajjNzHDAOYNiwYTlixIhqzepm4sSJNFpNXdFXjgN65ljGNMhslmNXn8GxD/aNiWbreSxPjx7Ro/vz96Xvy8wVemm/t0TE0DaafHh5AnBXRCw66/zaG/VIPWnOIJf8mJ/yE37KLWzIDlzMKywxewuDnNRjujPMcgIwa0bKvYDLKpbvWQ4bWRd4ozwhXQt8ISIWKyc++UK5TJKkuouI+SPiBxExrny+UkSMrMFLd/gyhIjYLyLuiYh7/vvf/9agNKl1LYPcfLzDn/kyP+GnnMEYNud6g5zUyzp6a4JzgTuBVSLiuYjYFzgK2DwiHgc2K58DXAX8C3gC+CNwIEBmvgr8DLi7/DqiXCZJUiM4A3gfWL98PgX4ef3KmVNmjsvMYZk5bMkll6x3OerHWga5wbzAzWzMbpzH9ziKfTid95l3tjYGOanndWj8U2bu1sqqTau0TWa/3qBy3enA6R2uTpKk2lkxM3eJiN0AMnNaRLWrgXpca5cnSA2n2m/E6jzA5WzDErzM9lzMpWw/RxuDnNQ7ujPMUpKkvuT9iBhEMekJEbEi8F4NXre1yxOkhlItyH2RK7mdDZibGWzIrQY5qcb6xiwLkiR134+Ba4DlImI8sAHFDcS7pbxUYQSwREQ8V77OQIDMPIXi8oQvUlyeMA3Yu7uvKfW0ahOdfJPfcgz/x9/4DNtyGf+pcqmnQU7qXYY5SZKAzLw+Iu4D1gUCOKQnbhzexqUKs9a3enmC1AhaBrm5mc6JHMTXGMdF7MAe/Il3mH+2NoY4qTYMc5Kkfq3KTbpnDXEcEhFDMvO+WtckNYqWQW5RXuNCdmRTbuIXHMYP+DnZ4qodg5xUO4Y5SVJ/d2z5fT5gGPB3ip65/wXuAdarU11SXbUMcp/kca5gJCvwFHtyFn9izzm2MchJteUEKJKkfi0zN87MjSl65NYqp/5fG/gMziqpfqplkPs8E5nEOizOK2zKjXMEuXPOMchJ9WDPnCRJhVUy88FZTzLzoYj4VD0LkuqhZZDbh9M4hf15nJXYhsv5FyvOtt4QJ9WPPXOSJBUejIhTI2JE+fVH4IF6FyXVyoEHzh7k5mImR/MdTuMr3MQmrMedBjmpwdgzJ0lSYQxwAHBI+fwW4OS6VSPV0IEHwskV/9sXYCrjGc22TOBEvs43+S0zW7xtNMhJ9WeYkyT1exExALi6vHbuN/WuR6qllsMql+VZLmcbVudBDuIEfs9Bc2xjkJMag2FOUp809NArO9z26aO27sVK1Awyc2ZEfBARi2TmG/WuR6qVlkFuGHczgVEswNtszZVcy5ZzbGOQkxqHYU6SpMJUiuvmrgfenrUwMw+uX0lS72kZ5HbkAs5mT17g42zGDTzCanNsY5CTGothTpKkwsXll9SnDRgAH3xQuSQ5nCP5OT/kNjZgey7hZZacYzuDnNR4DHOSJBX+AnyyfPxEZr5bz2Kk3tCyN25e3uVUvsLujOdP7M5XOJX3mXeO7QxyUmPy1gSSpH4tIuaOiKOB54CzgLOBZyPi6IgYWN/qpJ7TMsgtyUvcyKbszngO5+fsydlzBLlBgwxyUiMzzEmS+rtfAx8DVsjMtTNzLWBFYFHgmHoWJvWUlkFuNR5iEuvwGf7GjlzALzgcmL3RoEEwbVrtapTUeQ6zlCT1dyOBlTM/6n/IzDcj4gDgH3x03zmpKbUMcltwDeezM2+zAJ/nr9zDZ+fYxt44qTnYMydJ6u+yMshVLJwJ+JZWTW32IJccxAlcydY8yYoMZ7JBTmpyhjlJUn/3SETs2XJhROxO0TMnNaXKIDeAGZzIQZzAwVzONmzIrTzHcnNsY5CTmovDLCVJ/d3XgYsjYh/g3nLZMGAQsH3dqpK6qOWwykV4nb+wC1twHb/iuxzGL8kWn+cb4qTmZJiTJPVrmTkFWCciNoEP75J8VWbeWMeypC5pGeQ+wZNcwUg+yRPsw2mcwT5zbGOQk5qXYU6SJCAzbwJuqncdUle1DHKf41YuYXuCZHOu56+MmGMbg5zU3LxmTpIkqcm1DHJ7chY3sikvswTrMMkgJ/VRhjlJkqQmVhnkgg/4BYdxFmO4hY1Yjzt5kk/OsY1BTuobHGYpSZLUpCqD3Py8zdnsyZe4mD+wHwdxIjMYOMc2Bjmp77BnTpIkqQlVBrmlmcItbMR2XMo3+Q37c8ocQW7ppQ1yUl9jz5wkSVKTqQxya3EvExjFwrzJKCZwFVvP0d4QJ/VN9sxJkiQ1kcogtz0XcwsbMYO5WZ87DHJSP2OYkyRJahIfBbnkexzFxXyJB/hfhjOZh1h9jvYGOalv63KYi4hVIuL+iq83I+KbEfGTiJhSsfyLFdscFhFPRMRjEbFFzxyCJElS3zcryM3De5zB3hzFYfyZ3diYm3mJwXO0N8hJfV+Xr5nLzMeANQEiYgAwBbgE2Bv4TWYeU9k+IlYFdgVWA5YGboiIlTNzZldrkCRJ6g9mBbnFeZmL2YGNuJUf8VN+xg+BmKO9QU7qH3pqApRNgScz85loedfKj2wLnJeZ7wFPRcQTwHDgzh6qQZIkqU+pfFv1PzzKFYxkGaawK+fyF3atuo1BTuo/eirM7QqcW/H8oIjYE7gHGJuZrwHLAHdVtHmuXDaHiNgP2A9g8ODBTJw4sYfK7BlTp05tuJq6oq8cB/TMsYxdfUbPFNNNgwc1Ti3d1SzH0pH/O/6+SKq1yiC3OddxPjvzLvMxgolMYt2q2xjkpP6l22EuIuYBRgGHlYtOBn4GZPn9WGCfzuwzM8cB4wCGDRuWI0aM6G6ZPWrixIk0Wk1d0VeOA3rmWMYcemXPFNNNY1efwbEP9o27hjTLsTw9ekS7bfx9UXdExJbA8cAA4NTMPKrF+jHArykuWQA4MTNPrWmRaiiVQW5/TuYEvsHDrMY2XM6zDKm6jUFO6n964l3WVsB9mfkiwKzvABHxR+CK8ukUYLmK7Zblo5OWJEl9Unld+e+BzSlGpdwdERMy85EWTf+SmQfVvEA1lMoQN4AZHMe3OZgTuJyRfJk/M5WFqm5nkJP6p564NcFuVAyxjIilKtZtDzxUPp4A7BoR80bECsBKwOQeeH1JkhrZcOCJzPxXZr4PnEdxHbk0m8ogtzBvcDnbcDAncCzfZjsuNchJmkO3euYiYgGKTxq/VrH46IhYk2KY5dOz1mXmwxFxPvAIMAP4ujNZSpL6gWWAZyuePwesU6XdlyJiI+CfwLcy89mWDSqvKR8ypPpQOzWnyiA3lKe4nG1Yhcf4KuM4la+2up1BTurfuhXmMvNtYPEWy/Zoo/2RwJHdeU1Jkvqgy4FzM/O9iPgacBawSctGLa8pr22J6i2VQW497uBStmMg09mCa7l5zv8GAKy6Kjz8cI0KlNSwemKYpSRJal2714xn5ivlrXsATgXWrlFtqrPKIPdlxnMzG/MGi7AOk1oNcpkGOUmFxp9mTuqGoQ0yQ6Wkfu1uYKXyevEpFLfz+XJlg4hYKjOfL5+OAh6tbYmqh1lBLviAn/JjfsjPuZkR7MiFvDr7wKcPOaxSUiXDnCRJvSgzZ0TEQcC1FLcmOL28jvwI4J7MnAAcHBGjKK4pfxUYU7eCVROzgtwgpnEmY9iZCziVfTmQk5jOPFW3MchJaskwJ0lSL8vMq4CrWiz7UcXjw/jofq3q42YFuY/zPJexLcO4h7Ecw3F8G4g52hviJLXGMCdJklQjs4LcGtzP5WzDYrzGdlzK5Yyq2t4gJ6ktToAiSZJUA7OC3DZM4DY+B8DnuM0gJ6nLDHOSJEm9rAhyyViO4VK24xFWZTiT+TtrVm1vkJPUEYY5SZKkXhQBA3mfP/JVjuE7XMiOfJ6/8gJLVW1vkJPUUYY5SZKkXhIBH+MVruMLfIXTOIIfsivn8S6DqrY3yEnqDCdAkSRJ6gURsDKPcQUjGcK/Gc05/JnRrbY3yEnqLMOcJElSD4uATbiRC9mR6QxkY27mTtZvtb1BTlJXOMxSkiSpB0XAVxnHNWzJFJZhOJMNcpJ6hWFOkiSphwyImRzLtxnH17iezVmfO3iGoa22N8hJ6g6HWUqSJPWAheItLmM3RnIlx3MwYzmWmW281TLISeouw5yaytBDr6y6fOzqMxjTyjpJknrb8vEMt7MNq/IIB3ASp3BAm+0NcpJ6gmFOkiSpG3Zb4S4msy3z8h5bcTU3sHmb7Q1yknqK18xJkiR11XnnccbTI5jKgqzHnQY5STVlmJMkSeqsTPjpT2G33ZjMcNZhEv/gU+1uIkk9yWGWkiRJnfHOO7DvvnDuuZzJXnyNP/A+87a5iUFOUm8wzEmSJHXUCy/AdtvBpEl8j6M4mu8C0eYmBjlJvcUwJ0mS1BEPPMBza23DYjNfZncu5lK2b3cTg5yk3uQ1c5IkSe258kreWmMDYuYMNuTWDgW5A9q+O4EkdZthTpIkqTWZ8JvfMHPkKP7JygxnMn9jrXY3GzQITjqpBvVJ6tcMc5IkSdVMnw777w/f/jaXsh0bcQv/YZkObTptWi/XJkkY5iRJkub02muw1VYwbhy/4DB24gKmsUCHNvU6OUm14gQokiRJlR5/HEaOZMYTT7EPZ/En9uzQZoMG2SMnqbYMc5IkSbNMnAg77MDUd+Ziqw9u5DY27NBm9sZJqgeHWUqSJAGcfjpsvjl8/OOs8e4kg5ykhtftMBcRT0fEgxFxf0TcUy77WERcHxGPl98XK5dHRPwuIp6IiAciov3poCRJknrTzJnw3e/CvvvCxhvzqdfu4F+s2KFNDXKS6qmneuY2zsw1M3NY+fxQ4MbMXAm4sXwOsBWwUvm1H3ByD72+JElS502dCl/6Evz613DggXDVVfzjhUU7tKlBTlK99dYwy22Bs8rHZwHbVSw/Owt3AYtGxFK9VIMkSVLrnn0WPvc5uPxyOOEExq//e2Jgx6YT8IbgkhpBZDc/VoqIp4DXgAT+kJnjIuL1zFy0XB/Aa5m5aERcARyVmbeV624EvpeZ97TY534UPXcMHjx47fPOO69bNfa0qVOnsuCCC9a7jG5rxuN4cMobVZcPHgQvvlPjYnqJx1J7qy+zSLttmvH3pTWNeiwbb7zxvRUjPNSOYcOG5T333NN+Q1V3990wahS8/Tacfz7jX9mS3Xfv2KYHHOANwSXVVkRUPUf2xGyWn8vMKRHx/4DrI+IflSszMyOiU4kxM8cB46A4WY0YMaIHyuw5EydOpNFq6opmPI4xh15ZdfnY1Wdw7IN9Y3JWj6X2nh49ot02zfj70pq+dCxSl1xwAey5J3z843DDDbDaauweHdvUICepkXR7mGVmTim/vwRcAgwHXpw1fLL8/lLZfAqwXMXmy5bLJEmSelcm/PznsPPOsNZaMGkSrLYa0cEgBwY5SY2lWx+ZR8QCwFyZ+Vb5+AvAEcAEYC/gqPL7ZeUmE4CDIuI8YB3gjcx8vjs1SFJ3DW2lx7fS2NVnfNgz/PRRW/d2SepjImJL4HhgAHBqZh7VYv28wNnA2sArwC6Z+XSt6+zT3nsPvvIVOOcc2H13+OMfYb75OPDAju9i0017rzxJ6orujn8aDFxSXBbH3MCfM/OaiLgbOD8i9gWeAXYu218FfBF4ApgG7N3N15ckqaFFxADg98DmwHPA3RExITMfqWi2L8X15Z+MiF2BXwG71L7aPuqll2D77eGOO4qeue9/n1ndcSd3cF7tpZcuRmRKUiPpVpjLzH8Ba1RZ/gowx+dXWcy28vXuvKYkSU1mOPBEec6kHJ2yLVAZ5rYFflI+vhA4MSIiuztLmeDhh2HkSHjhBTj/fNhppw9XdXR4pdfJSWpUvXVrAkmSVFgGeLbi+XPlsqptMnMG8AaweMsdRcR+EXFPRNzz3//+t5fK7UOuuQbWWw/efRduuaVLQe6ccwxykhqXYU6SpCaRmeMyc1hmDltyySXrXU5jO+EE2HprWHFFmDwZPvvZD1fNM0/HdnHAATB6dC/VJ0k9wDAnSVLv6shMzh+2iYi5gUUoJkJRZ82YAV//Ohx8cDG88tZbYbmP/vnnnx+mT+/YruyRk9ToDHOSJPWuu4GVImKFiJgH2JVidudKs2aBBtgRuMnr5brg9deL3riTToLvfAcuvhgWXBCA8eOLoZXvvNOxXZ1zTu+VKUk9pfHv5itJUhPLzBkRcRBwLcWtCU7PzIcj4gjgnsycAJwG/CkingBepQh86ox//avoiXv8cTjtNNhnnw9XjR9f3I2goxZd1OGVkpqDYU6SpF6WmVdR3J6nctmPKh6/C+zUcjt10K23FrceyITrr4cRI2Zbvdde1TerZuBAeO21ni1PknqLwywlSVLzOuus4m7eiy8Od901R5BbZhmYObNju1p0UXj//R6vUJJ6jWFOkiQ1nw8+gMMOgzFjYMMNiyC30kqzNdlsM/jPfzq2O3vkJDUjh1lKkqTm8vbbsOeexQQn++0HJ55YpLEK48fDjTd2bHdzzWWPnKTmZM+cJElqHlOmwEYbwSWXwG9+A6ecUjXIdXTCk1VX7fgwTElqNIY5SZLUHO67D4YPh3/+EyZMgG9+s7jfQAt77NGx3R1wADz8cM+WKEm1ZJiTJEmN75JLimvj5p4bbr+9uA1BFZttVkxq2Z5Bg7wpuKTm5zVzktRJQw+9ssNtnz5q616sROoHMuHoo+HQQ2HddeHSS2Hw4Fabd+Q6uUGDYNq0nitRkurFnjlJktSY3nsP9t67CHK77go33dRqkBs/vuqIyzkMHGiQk9R32DMnSZIaz8svww47FDcE/8lP4Ec/ajWtLbNMx29B4KyVkvoSw5wkSWosjz5aXBM3ZQqce27RK9eKzgS5jlxLJ0nNxDAnSZIax/XXw047wbzzwsSJxXVyrRg/vuNB7oADeqY8SWokXjMnSZIaw8knw1ZbwZAhMHlym0EO4JBDOrZbZ66U1FfZM6e668zMgJKkPmjGDPj2t+GEE2DrrYuhlQst1OYm48fDK6+0v+u55nLCE0l9lz1zkiSpft58E0aNKoLct78Nl13WoSC3++7t73rQIJg5s4fqlKQGZJiTJEn18dRTsP76xXVyf/gDHHssDBjQ7mZ77dX+rjfd1B45SX2fwywlSVLt3XEHbLcdTJ8O11xTpK8O2Gyz9nvbFl8cbrih+yVKUqOzZ06SJNXW+PGw8cawyCJw110dDnIAN97Yfpvjj+9GbZLURAxzkiSpNj74oLj59+67F8Mr77oLVlmlw5sfeGD7bZZeGkaP7kaNktREHGYpSZJ637RpMGYMXHAB7LNPcRuCeebp8OYHHlhs0pZFFy3uMy5J/YVhTpIk9a7nn4dtt4V77oFf/xrGjoWIDm06fjzssQdktt1u6aUNcpL6H8OcJEnqPfffD9tsA6+9BpdeWtyGoIM6egsCMMhJ6p+8Zk6SJPWOCRPgc58rHt92W6eCHMD++3es3QILdLIuSeojuhzmImK5iLg5Ih6JiIcj4pBy+U8iYkpE3F9+fbFim8Mi4omIeCwituiJA5AkSQ0mE445prj1wKqrwuTJsOaandrFgQfC1Kkda/uHP3S6QknqE7ozzHIGMDYz74uIhYB7I+L6ct1vMvOYysYRsSqwK7AasDRwQ0SsnJnt3C1GkiQ1jfffL5LYaafBTjvBmWfC/PN3ejfjxnWs3aabOnulpP6ryz1zmfl8Zt5XPn4LeBRYpo1NtgXOy8z3MvMp4AlgeFdfX5IkNZhXX4UttiiC3A9/COed16UgB+3fGBzggAO8Obik/q1HJkCJiKHAZ4BJwAbAQRGxJ3APRe/daxRB766KzZ6j7fAnSZKaxT//CSNHwjPPwDnndLu7bK65itvSVTPPPPDee93avST1Cd0OcxGxIHAR8M3MfDMiTgZ+BmT5/Vhgn07ucz9gP4DBgwczceLE7pbZo6ZOndpwNXVFoxzH2NVndHsfgwf1zH4agcfSmLp6LI3wO9ZSo/zuqw+58UbYcUcYOBBuugk22KBbuxs/vvV1c88Np5/erd1LUp/RrTAXEQMpgtz4zLwYIDNfrFj/R+CK8ukUYLmKzZctl80hM8cB4wCGDRuWI0aM6E6ZPW7ixIk0Wk1d0SjHMebQK7u9j7Grz+DYB/vGnTY8lsbU1WN5evSIni+mmxrld199xB//WFwjt8oqcMUVMHRot3d5+OHVe+UiikvwvEZOkgrdmc0ygNOARzPzuIrlS1U02x54qHw8Adg1IuaNiBWAlYDJXX19SZJURzNnFjf/3m8/2GwzuOOOHglyAP/+d+vrDHKS9JHufGS+AbAH8GBE3F8u+z6wW0SsSTHM8mngawCZ+XBEnA88QjET5tedyVKS1JdFxMeAvwBDKc6JO5fXkbdsNxN4sHz678zs3A3Zau2tt+DLXy564g4+GI49thj/2EOGDCkuvau2XJL0kS7/5c3M24CosuqqNrY5Ejiyq68pSVKTORS4MTOPiohDy+ffq9Luncxcs6aVddUzz8A228Ajj8Dvf18MsexhRx5ZdPhNm/bRsvnnL5ZLkj7S5WGWkiSpXdsCZ5WPzwK2q18pPWDSJFhnnWIc5NVX90qQg2Io5bhxsPzyxXVyyy9fPHeIpSTNrm/MTCBJUmManJnPl49fAAa30m6+iLiH4jKEozLz0loU1ynnnQdjxsAyy8DNN8OnPtWrLzd6tOFNktpjmFOPG9oDs1NKUrOIiBuAj1dZdXjlk8zMiMhWdrN8Zk6JiE8AN0XEg5n5ZJXX+vDWPUNqdQFZJhxxBPzkJ7DhhnDxxbDEErV5bUlSmwxzkiR1Q2Zu1tq6iHgxIpbKzOfL2Z5famUfU8rv/4qIicBngDnCXMtb9/RA+W17913YZx8491zYay/4wx9g3nl7/WUlSR3jNXOSJPWeCcBe5eO9gMtaNoiIxSJi3vLxEhSzRT9Sswpb8+KLsPHGRZD75S/hjDMMcpLUYOyZkySp9xwFnB8R+wLPADsDRMQwYP/M/ArwKeAPEfEBxYesR2VmfcPcgw/CyJHw3//CRRfBDjvUtRxJUnWGOUmSeklmvgJsWmX5PcBXysd3AKvXuLTWXXkl7LorLLww3HorrL12vSuSJLXCYZaSJKmY6OS3v4VRo2DllWHy5LoGufHjYehQmGuu4vv48XUrRZIalj1z6hBnqJS6prO/O08ftXUvVSK1Yfp0+MY3iglOdtgBzj4bFligbuWMHz/7TcOfeaZ4Dt6uQJIq2TMnSVJ/9tprsNVWRZA77DC44IKaBLnx44s7HETM+bX77h8FuVmmTYPDD6++L0nqr+yZk6QG0pmePHvx1G1PPAFbbw1PPQVnnlncfqAGxo+HvfcuOgQ749//7p16JKlZGeYkSeqPbr0Vttuu6Aq78cbihuA1cvjhnQ9yALW6T7okNQuHWUqS1B8ttBCsuCJMmlTTIAdd72E78sierUOSmp09c5Ik9UdrrlkEuYiav/SQIcWkJp2x+OJOfiJJLdkzJ0lSP/PhtP8Dos1p/6vdHqBy2RJLFF+VjyNg7rln/z7XXLNPcNLZIDf33HD88d06ZEnqk+yZkySpH+notP/V2u29dxHG3n+/WPbKKx+1r3w8c+bs3zO7Xu+CC8Ipp9grJ0nV2DMnSVI/cvjhHZv2v1q76dM/CnI9bfnli9DX8uuttwxyktQaw5wkSf1Ia5OPtFxe69sAeNsBSeo8w5wkSf1Ia9P7t1xe69sAeNsBSeo8r5mTpCbVmRuMgzcZV+HII2e/Fg5g/vnnnPa/WruBA2e/Zq6nzDOPtx2QpK6wZ06SpH5k9GgYN664Ri2i+D5u3JzXpVVrd8YZcPrpHy1bfPHiq/IxwIABs39v6+4Hiy9e7NPr4iSp8+yZ66eGHnolY1efwZhOfrIvSWp+o0d3LDy11s7gJUmNwTDXh3R2yJUktcYhnJIkNT6HWUqSJElSEzLMSZIkSVITcpilJPUTs4ZOer2sJEl9gz1zkiRJktSE7JlrYE5oIkmSJKk1NQ9zEbElcDwwADg1M4/q7dfsTChyRjZJkiRJzaCmYS4iBgC/BzYHngPujogJmflILeuoF3vaJEmSJPWUWl8zNxx4IjP/lZnvA+cB29a4BkmSJElqerUeZrkM8GzF8+eAdWpcQ4+yt02SJElSPURm1u7FInYEtszMr5TP9wDWycyDWrTbD9ivfLoK8FjNiuyYJYCX611ED+grxwEeS6PyWBpTox7L8pm5ZL2LaBYR8V/gmW7uplH/L1TTTLVCc9Vrrb2nmeq11t7TE/VWPUfWumduCrBcxfNly2WzycxxwLhaFdVZEXFPZg6rdx3d1VeOAzyWRuWxNKa+dCz9WU8E32b6v9BMtUJz1WutvaeZ6rXW3tOb9db6mrm7gZUiYoWImAfYFZhQ4xokSZIkqenVtGcuM2dExEHAtRS3Jjg9Mx+uZQ2SJEmS1BfU/D5zmXkVcFWtX7eHNewQ0E7qK8cBHkuj8lgaU186FnVPM/1faKZaobnqtdbe00z1Wmvv6bV6azoBiiRJkiSpZ9T6mjlJkiRJUg8wzHVARHwsIq6PiMfL74u10m5mRNxffjXMxC4RsWVEPBYRT0TEoVXWzxsRfynXT4qIoXUos0M6cCxjIuK/FT+Hr9SjzvZExOkR8VJEPNTK+oiI35XH+UBErFXrGjuqA8cyIiLeqPiZ/KjWNXZURCwXETdHxCMR8XBEHFKlTcP/bDp4HE3zc1FtRMTYiMiIWKLetbQmIn5W/t7dHxHXRcTS9a6pNRHx64j4R1nvJRGxaL1raktE7FT+vfggIhpylsD23gM0kvbOjY2kI+eMRhER80XE5Ij4e1nrT+tdU3siYkBE/C0iruiN/RvmOuZQ4MbMXAm4sXxezTuZuWb5Nap25bUuIgYAvwe2AlYFdouIVVs02xd4LTM/CfwG+FVtq+yYDh4LwF8qfg6n1rTIjjsT2LKN9VsBK5Vf+wEn16CmrjqTto8F4NaKn8kRNaipq2YAYzNzVWBd4OtV/o81w8+mI8cBzfNzUS+LiOWALwD/rnct7fh1Zv5vZq4JXAE08ocQ1wOfzsz/Bf4JHFbnetrzELADcEu9C6mmE+8BGsWZtH9ubBQdPWc0gveATTJzDWBNYMuIWLe+JbXrEODR3tq5Ya5jtgXOKh+fBWxXv1I6bTjwRGb+KzPfB86jOJ5Klcd3IbBpREQNa+yojhxLU8jMW4BX22iyLXB2Fu4CFo2IpWpTXed04FiaRmY+n5n3lY/fovjju0yLZg3/s+ngcUiVfgN8F2joC+kz882KpwvQwPVm5nWZOaN8ehfFvXUbVmY+mpmP1buONjTVe4BmOjc20zmjPPdOLZ8OLL8a9u9ARCwLbA30WueCYa5jBmfm8+XjF4DBrbSbLyLuiYi7ImK72pTWrmWAZyueP8ecv6AftilPPG8Ai9ekus7pyLEAfKkc1nJh+WlzM+rosTaL9cohEVdHxGr1LqYjyuHGnwEmtVjVVD+bNo4DmvDnop4XEdsCUzLz7/WupSMi4siIeBYYTWP3zFXaB7i63kU0uab629us2jlnNIRy2OL9wEvA9ZnZsLUCv6X4oOyD3nqBmt+aoFFFxA3Ax6usOrzySWZmRLT2CcDymTklIj4B3BQRD2bmkz1dq9p0OXBuZr4XEV+j6HHcpM419Xf3UfxuTI2ILwKXUgxRbFgRsSBwEfDNFj0BTaWd42i6n4u6rp1z3Pcphlg2hLZqzczLMvNw4PCIOAw4CPhxTQus0F6tZZvDKYaxja9lbdV0pF71X81y7svMmcCa5XWol0TEpzOz4a5NjIiRwEuZeW9EjOit1zHMlTJzs9bWRcSLEbFUZj5fDqd6qZV9TCm//ysiJlJ8slHvMDcFqOydWrZcVq3NcxExN7AI8EptyuuUdo8lMyvrPhU4ugZ19YaO/NyaQuUJITOvioiTImKJzHy5nnW1JiIGUpzMxmfmxVWaNMXPpr3jaLafi7qntXNcRKwOrAD8vRxdvyxwX0QMz8wXaljih9o6H7cwnuK+tXULc+3VGhFjgJHAptkA94LqxL9tI2qKv73NqgPnvoaTma9HxM0U1yY2XJgDNgBGlR+YzgcsHBHnZObuPfkiDrPsmAnAXuXjvYA5Pr2KiMUiYt7y8RIUP8BHalZh6+4GVoqIFSJiHmBXiuOpVHl8OwI3NcJJp4p2j6XFtUuj6MULTnvZBGDPKKwLvFEx1LepRMTHZ12DGRHDKf7uNOKHBZR1ngY8mpnHtdKs4X82HTmOZvq5qPdk5oOZ+f8yc2hmDqUYurZWvYJceyKisvd4W+Af9aqlPRGxJcXwqlGZOa3e9fQBHXk/oy7o4LmvIUTEkmWPHBExCNicBv07kJmHZeay5d/WXSneX/dokAN75jrqKOD8iNgXeAbYGSCKqXv3z8yvAJ8C/hARH1C8KToqM+se5jJzRkQcBFwLDABOz8yHI+II4J7MnEDxC/yniHiC4mLdXetXces6eCwHR8QoiiEtrwJj6lZwGyLiXGAEsEREPEfxyfJAgMw8heLT5i8CTwDTgL3rU2n7OnAsOwIHRMQM4B1g1wb9sACKD2H2AB4sx+NDMQRtCDTVz6Yjx9FMPxdplqMiYhWK60+eAfavcz1tORGYF7i+/Nzkrsxs2HojYnvgBGBJ4MqIuD8zt6hzWR9q7T1AnctqVbVzY2aeVt+qWlX1nJGZV9WvpFYtBZwVxeymcwHnZ2avTPnfLMJztyRJkiQ1H4dZSpIkSVITMsxJkiRJUhMyzEmSJElSEzLMSZIkSVITMsxJkiRJUhMyzEmSJPVREbF4RNxffr0QEVPKx69HRE1voRQR20XEqhXPj4iITt/IPCKGRkTdbhIdEd9v8fyO8ntd61L/ZJiTJEnqozLzlcxcMzPXBE4BflM+XpPifn09KiLauofxdsCHYS4zf5SZN/R0DTUwW5jLzPXrVYhkmJMkSeqfBkTEHyPi4Yi4LiIGAUTEihFxTUTcGxG3RsT/lMuHRsRNEfFARNwYEUPK5WdGxCkRMQk4utr2EbE+MAr4ddkzuGK53Y7lPj4bEXdExN8jYnJELFS+3q0RcV/51WZoisKJEfFYRNwQEVdV7P/piFiifDwsIiaWj4dHxJ0R8bfy9Vcpl4+JiIvL43g8Io4ulx8FDCqPYXy5bGqVWgZExK8j4u7y3+tr5fKlIuKWcvuHImLDbv4M1c+19emJJEmS+q6VgN0y86sRcT7wJeAcYBywf2Y+HhHrACcBmwAnAGdl5lkRsQ/wO4reNoBlgfUzc2ZE3Nhy+8zcJCImAFdk5oUAEUH5fR7gL8AumXl3RCwMvAO8BGyeme9GxErAucCwNo5ne2AVit6/wcAjwOnt/Bv8A9gwM2eUQz5/Uf47QNF7+RngPeCxiDghMw+NiIPK3s227Au8kZmfjYh5gdsj4jpgB+DazDwyIgYA87ezH6lNhjlJkqT+6anMvL98fC8wNCIWBNYHLpgVtoB5y+/rUYQRgD8BR1fs64IyyLW1fWtWAZ7PzLsBMvNNgIhYADgxItYEZgIrt7OfjYBzM3Mm8J+IuKmd9gCLAGeVYTGBgRXrbszMN8paHgGWB57twD4BvgD876yewfJ1VgLuBk6PiIHApRX//lKXGOYkSZL6p/cqHs8EBlFcgvN6B3qeWnq7/N7V7av5FvAisEa533e7sa8ZfHR50XwVy38G3JyZ20fEUGBixbqW/z6ded8cwDcy89o5VkRsBGwNnBkRx2Xm2Z3YrzQbr5mTJEkS8GGv2FMRsRN8eB3aGuXqO4Bdy8ejgVs7uf1bwEJVXvYxYKmI+Gy5zULlRCqLUPTYfQDsAQxop/xbgF3K69WWAjauWPc0sHb5+EsVyxcBppSPx7Sz/1mmlz1rbbkWOGBWu4hYOSIWiIjlgRcz84/AqcBaHXxNqSrDnCRJkiqNBvaNiL8DDwPblsu/AewdEQ9QhKtDOrn9ecB3yslGVpzVODPfB3YBTii3uZ6i9+wkYK9y2f/wUe9fay4BHqe4Vu5s4M6KdT8Fjo+Ieyh62WY5GvhlRPyNjve8jQMemDUBSitOLeu4L4rbFfyh3P8I4O/l6+0CHN/B15Sqisysdw2SJElSj4qIM6mYcEXqi+yZkyRJkqQmZM+cJEmSJDUhe+YkSZIkqQkZ5iRJkiSpCRnmJEmSJKkJGeYkSZIkqQkZ5iRJkiSpCRnmJEmSJKkJ/X+ReAR5+5rb9gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# use diagnostic plot function to corroborate variable transformation\n",
    "\n",
    "diagnostic_plots(X_tf, \"MedInc\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# revert to the original representation\n",
    "\n",
    "X_tf = lt.inverse_transform(X_tf)\n",
    "\n",
    "diagnostic_plots(X_tf, \"MedInc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Logarithm plus constant\n",
    "\n",
    "If you want to add a constant to the variables, say because some of their values are 0 or negative, this is how to do it.\n",
    "\n",
    "## Numpy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# make a copy of original data\n",
    "\n",
    "X_tf = X.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# apply log plus a constant to a set of variables\n",
    "# we can also use np.log1p()\n",
    "\n",
    "X_tf[variables] = np.log(X[variables] + 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# use diagnostic plot function to corroborate variable transformation\n",
    "\n",
    "diagnostic_plots(X_tf, \"MedInc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scikit-learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# make a copy of the dataframe where we will store the modified\n",
    "# variables\n",
    "\n",
    "X_tf = X.copy()\n",
    "\n",
    "# set up the transformer\n",
    "\n",
    "transformer = FunctionTransformer(lambda x: np.log(x + 1))\n",
    "\n",
    "# transform subset of dataframe\n",
    "\n",
    "X_tf[variables] = transformer.transform(X[variables])\n",
    "\n",
    "# use diagnostic plot function to corroborate variable transformation\n",
    "\n",
    "diagnostic_plots(X_tf, \"MedInc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Feature-engine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "from feature_engine.transformation import LogCpTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'MedInc': 1.4999,\n",
       " 'AveRooms': 1.8461538461538463,\n",
       " 'AveBedrms': 1.3333333333333333,\n",
       " 'Population': 4.0}"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# set up the transformer to find the minimum value per\n",
    "# variable, automatically.\n",
    "\n",
    "lt = LogCpTransformer(variables=variables, C=\"auto\")\n",
    "\n",
    "# fit transformer to data set\n",
    "lt.fit(X)\n",
    "\n",
    "# the constant that will be added\n",
    "lt.C_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# transform variables in our data set\n",
    "\n",
    "X_tf = lt.transform(X)\n",
    "\n",
    "# use diagnostic plot function to address variable transformation\n",
    "\n",
    "diagnostic_plots(X_tf, \"MedInc\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "fsml",
   "language": "python",
   "name": "fsml"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {
    "height": "697.556px",
    "left": "0px",
    "right": "1753px",
    "top": "110.444px",
    "width": "193.653px"
   },
   "toc_section_display": "block",
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
